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A Loop-Free Decision Procedure for Modal Propositional Logics K4, S4 and S5

Dorota Leszczyńska-Jasion

Journal of Philosophical Logic 38 (2):151-177 (2009)

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Socratic Trees.Dorota Leszczyńska-Jasion, Mariusz Urbański & Andrzej Wiśniewski - 2013 - Studia Logica 101 (5):959-986.details The method of Socratic proofs (SP-method) simulates the solving of logical problem by pure questioning. An outcome of an application of the SP-method is a sequence of questions, called a Socratic transformation. Our aim is to give a method of translation of Socratic transformations into trees. We address this issue both conceptually and by providing certain algorithms. We show that the trees which correspond to successful Socratic transformations—that is, to Socratic proofs—may be regarded, after a slight modification, as Gentzen-style proofs. (...) Download Export citation Bookmark 7 citations
The Method of Socratic Proofs: From the Logic of Questions to Proof Theory.Dorota Leszczyńska-Jasion - 2021 - In Moritz Cordes (ed.), Asking and Answering: Rivalling Approaches to Interrogative Methods. Tübingen: Narr Francke Attempto. pp. 183–198.details I consider two cognitive phenomena: inquiring and justifying, as complementary processes running in opposite directions. I explain on an example that the former process is driven by questions and the latter is a codification of the results of the first one. Traditionally, proof theory focuses on the latter process, and thus describes the former, at best, as an example of a backward proof search. I argue that this is not the best way to analyze cognitive processes driven by questions, and (...) Download Export citation Bookmark
An Essay on Inferential Erotetic Logic.Andrzej Wiśniewski - 2021 - In Moritz Cordes (ed.), Asking and Answering: Rivalling Approaches to Interrogative Methods. Tübingen: Narr Francke Attempto. pp. 105–138.details By and large, Inferential Erotetic Logic (IEL, for short) is an approach to the logic of questions which puts in the centre of attention inferential aspects of questioning. IEL is not an enterprise of the last few years only. The idea originates from the late 1980s. It evolved through time. Initially, the stress was put on the phenomenon of question raising. This changed gradually, as some forms of reasoning that involve questions have appeared to be analyzable by means of the (...) Download Export citation Bookmark 1 citation
The Method of Socratic Proofs for Modal Propositional Logics: K5, S4.2, S4.3, S4F, S4R, S4M and G.Dorota Leszczyńska-Jasion - 2008 - Studia Logica 89 (3):365-399.details The aim of this paper is to present the method of Socratic proofs for seven modal propositional logics: K5, S4.2, S4.3, S4M, S4F, S4R and G. This work is an extension of [10] where the method was presented for the most common modal propositional logics: K, D, T, KB, K4, S4 and S5. Download Export citation Bookmark 8 citations

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